Question

1. what is the measure of angle q°?

$95^circ$
$100^circ$
$150^circ$
$540^circ$

Explanation:

Step1: Find total interior angles

For a pentagon ($n=5$), total interior angles = $(n-2)\times180^\circ=(5-2)\times180^\circ=540^\circ$

Step2: Sum known angles

Sum = $100^\circ + 100^\circ + 95^\circ + 95^\circ = 390^\circ$

Step3: Calculate missing angle $q$

$q = 540^\circ - 390^\circ$

Answer:

150°